A.N. Chuprunov, O.V. Rusakov

Convergence for step line
processes under summation of random indicators
and models of market pricing

(Lobachevskii Journal of Mathematics, Vol.12, pp.11-39)

Functional limit theorems for random step lines and
random broken lines defined by sums of iid random variables with
replacements are obtained and discussed. Also we obtained
functional limit theorems for integrals of such random
processes. We use our results to study a number of models of the
financial market.